Dielectric surface coated with thin partially-reflecting mirror – A revisit to Fresnel laws

Abstract

New forms of Fresnel reflection and transmission coefficients were derived in the case of oblique optical incidence at the interface of dielectric medium coated with thin partially-reflecting mirror. This essentially required the application of modified boundary conditions for both the electric and magnetic fields. The expressions for power reflectivity (of the mirror) were obtained for both the transverse electric (TE) and transverse magnetic (TM) waves considering the cases of dielectric and metallic coatings. The reflectance and transmittance of the coated surface were also examined corresponding to different values of mirror reflectivity. It is expected that the forms of Fresnel coefficients would be useful in modeling optical and optoelectronic mirror-based devices.

Keywords: Optical Interaction , Fresnel Coefficients, Reflective Coating, Geometrical Optics